A Family of Novel Exact Solutions to 2+1-Dimensional KdV Equation. (30th March 2014)

• Record Type: Journal Article
• Authors: Wang, Zhen; Zou, Li; Zong, Zhi; Qin, Hongde
• Other Names: Xia Tiecheng Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-03-30
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/764750
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We introduce two subequations with different independent variables for constructing exact solutions to nonlinear partial differential equations. In order to illustrate the efficiency and usefulness, we apply this method to 2 + 1 -dimensional KdV equation, which was first derived by Boiti et al. (1986) using the idea of the weak Lax pair. As a result, we obtained many new exact solutions.